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Finding the Fourth Proportional to 64,810.53, 89,455.19 and 42,205.86

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Solution

The fourth proportional to 64,810.53, 89,455.19 and 42,205.86 is: 58,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810.53 : 89,455.19 = 42,205.86 : x
  2. Step 2: Convert to fraction form
    64,810.53/89,455.19 = 42,205.86/x
  3. Step 3: Cross multiply
    64,810.53x = 89,455.19 × 42,205.86
  4. Step 4: Simplify right side
    64,810.53x = 3,775,533,014.38
  5. Step 5: Solve for x
    x = 3,775,533,014.38/64,810.53
  6. Step 6: Final answer
    x = 58,254.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.